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Finding the Fourth Proportional to 355,202.46, 490,180.47 and 204,289.50

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Solution

The fourth proportional to 355,202.46, 490,180.47 and 204,289.50 is: 281,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,202.46 : 490,180.47 = 204,289.50 : x
  2. Step 2: Convert to fraction form
    355,202.46/490,180.47 = 204,289.50/x
  3. Step 3: Cross multiply
    355,202.46x = 490,180.47 × 204,289.50
  4. Step 4: Simplify right side
    355,202.46x = 100,138,723,126.07
  5. Step 5: Solve for x
    x = 100,138,723,126.07/355,202.46
  6. Step 6: Final answer
    x = 281,920.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.